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Constructing the Infimum of Two Projections

Authors :
Luminita S. Vîţă
Douglas S. Bridges
Source :
Computation, Physics and Beyond ISBN: 9783642276538, Computation, Physics and Beyond
Publication Year :
2012
Publisher :
Springer Berlin Heidelberg, 2012.

Abstract

An elementary algorithm for computing the infimum of two projections in a Hilbert space is examined constructively. It is shown that in order to obtain a constructive convergence proof for the algorithm, one must add some hypotheses such as Markov's principle or the locatedness of a certain range; and that in the finite-dimensional case, the existence of both the infimum and the supremum of the two projections suffices for the convergence of the algorithm.

Details

ISBN :
978-3-642-27653-8
ISBNs :
9783642276538
Database :
OpenAIRE
Journal :
Computation, Physics and Beyond ISBN: 9783642276538, Computation, Physics and Beyond
Accession number :
edsair.doi...........09c5235a5bbcef61f124e8c097b69108
Full Text :
https://doi.org/10.1007/978-3-642-27654-5_4